Answer:
x = 2
Step-by-step explanation:
Solve for x:
8 x + 4 (x - 1) = 15 x - 10
Hint: | Distribute 4 over x - 1.
4 (x - 1) = 4 x - 4:
4 x - 4 + 8 x = 15 x - 10
Hint: | Group like terms in 8 x + 4 x - 4.
Grouping like terms, 8 x + 4 x - 4 = (8 x + 4 x) - 4:
(8 x + 4 x) - 4 = 15 x - 10
Hint: | Add like terms in 8 x + 4 x.
8 x + 4 x = 12 x:
12 x - 4 = 15 x - 10
Hint: | Move terms with x to the left hand side.
Subtract 15 x from both sides:
(12 x - 15 x) - 4 = (15 x - 15 x) - 10
Hint: | Combine like terms in 12 x - 15 x.
12 x - 15 x = -3 x:
-3 x - 4 = (15 x - 15 x) - 10
Hint: | Look for the difference of two identical terms.
15 x - 15 x = 0:
-3 x - 4 = -10
Hint: | Isolate terms with x to the left hand side.
Add 4 to both sides:
(4 - 4) - 3 x = 4 - 10
Hint: | Look for the difference of two identical terms.
4 - 4 = 0:
-3 x = 4 - 10
Hint: | Evaluate 4 - 10.
4 - 10 = -6:
-3 x = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -3 x = -6 by -3:
(-3 x)/(-3) = (-6)/(-3)
Hint: | Any nonzero number divided by itself is one.
(-3)/(-3) = 1:
x = (-6)/(-3)
Hint: | Reduce (-6)/(-3) to lowest terms. Start by finding the GCD of -6 and -3.
The gcd of -6 and -3 is -3, so (-6)/(-3) = (-3×2)/(-3×1) = (-3)/(-3)×2 = 2:
Answer: x = 2
